Global solutions to general polynomial benchmark optimization problems

Xiaojun Zhou

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arXiv · 1207.6490

Global solutions to general polynomial benchmark optimization problems

Xiaojun Zhou

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Abstract

The goal of this paper is to solve a class of high-order polynomial benchmark optimization problems, including the Goldstein-Price problem and the Three Hump Camel Back problem. By using a generalized canonical duality theory, we are able to transform the nonconvex primal problems to concave dual problems over convex domain(without duality gap), which can be solved easily to obtain global solutions.

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BibTeX RIS

Xiaojun Zhou. 2012-07-27. Global solutions to general polynomial benchmark optimization problems. https://arxiv.org/abs/1207.6490

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